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Nonharmonic FOurier series in the control theory of distributed parameter systems. (English) Zbl 0158.10201

Full Text: DOI
[1] Russell, D. L.: Optimal regulation of linear symmetric hyperbolic systems with finite dimensional controls. SIAM J. Control 4, No. No. 2, 276-294 (1966) · Zbl 0166.35805
[2] Russell, D. L.: On boundary-value controllability of linear symmetric hyperbolic systems. Proceedings of the conference on the mathematical theory of control (1967) · Zbl 0214.39607
[3] Butkovskii, A. G.: The method of moments in the theory of optimal control of systems with distributed parameters. Automat. remote control 24, 1106-1113 (1963)
[4] Butkovskii, A. G.; Poltavskii, L. N.: The optimal control of a distributed oscillating system. Automat. remote control 26 (1965)
[5] Courant, R.; Hilbert, D.: Methods of mathematical physics. (1953) · Zbl 0051.28802
[6] Tricomi, F. G.: Differential equations. (1961) · Zbl 0113.40804
[7] Levinson, N.: Gap and density theorems. Amer. math. Soc. colloq. Publ. 26 (1940) · Zbl 0145.08003
[8] Schwartz, L.: Approximation d’une fonction quelconque. Ann. fac. Sci., univ. Toulouse 6, 111-174 (1942) · Zbl 0061.13602
[9] Redheffer, R. M.: Remarks on the incompleteness of ${ei{\lambda}$nx, non-averaging sets, and entire functions. Proc. amer. Math. soc. 2, 365-369 (1951) · Zbl 0043.05001
[10] Jr., R. P. Boas: A trigonometric moment problem. J. London math. Soc. 14, 242-244 (1939) · Zbl 65.1325.04
[11] Banach, S.: Théorie des opérations linéaires. 75 (1932)
[12] Ingham, A. E.: Some trigonometrical inequalities in the theory of series. Math. Z. 41, 367-379 (1963) · Zbl 0014.21503
[13] Paley, R. E. A.C; Wiener, N.: The Fourier transform in the complex domain. Amer. math. Soc. colloq. Publ. 19 (1934) · Zbl 0011.01601
[14] Duffin, R. J.; Eachus, J. J.: Some notes on an expansion theorem of Paley and Wiener. Bull. amer. Math. soc. 48, 850-855 (1942) · Zbl 0061.13405
[15] Riesz, F.; Sz.-Nagy, B.: Functional analysis. (1955) · Zbl 0070.10902
[16] Golovin, V. D.: [Title unknown.] akad. Nauk. armjan SSR dokl.. Akad. nauk. Armjan SSR dokl. 36, 65ff (1963)
[17] Kadec, M. I.: The exact value of the Paley-Wiener constant. Sov. math. 5, No. No. 2, 559-561 (1964) · Zbl 0196.42602
[18] Sibuya, Y.: On biorthogonal systems. Mich. math. J. 13, 165-168 (1966) · Zbl 0145.38002
[19] Brauer, F.: Correction. Mich. math. J. 12, 127-128 (1965)